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Finding the Fourth Proportional to 932.76, 1,287.24 and 507.42

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Solution

The fourth proportional to 932.76, 1,287.24 and 507.42 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.76 : 1,287.24 = 507.42 : x
  2. Step 2: Convert to fraction form
    932.76/1,287.24 = 507.42/x
  3. Step 3: Cross multiply
    932.76x = 1,287.24 × 507.42
  4. Step 4: Simplify right side
    932.76x = 653,171.32
  5. Step 5: Solve for x
    x = 653,171.32/932.76
  6. Step 6: Final answer
    x = 700.26

Related Problems

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.